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Warm-Up

Warm-Up. Day 13 - Triangle Congruence Postulates. SWBAT to prove triangles are congruent using SSS, SAS, ASA, AAS and HL. Mini-Assessment #3. Date: Thursday 10/31 (Periods 2, 4) or Friday 11/01 (Periods 1, 3) Covers: Day 10A – Pythagorean Theorem

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Warm-Up

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  1. Warm-Up

  2. Day 13 - Triangle Congruence Postulates SWBAT to prove triangles are congruent using SSS, SAS, ASA, AAS and HL

  3. Mini-Assessment #3 Date: Thursday 10/31 (Periods 2, 4) or Friday 11/01 (Periods 1, 3) Covers: • Day 10A – Pythagorean Theorem • Day 10B – Similar Right Triangles / Geometric Mean • Day 11 – Parallel Lines & Transversals (Corresponding Angles, Alternate Interior Angles, Alternate Exterior Angles, Same Side Interior Angles, etc) • Day 12 – Isosceles Triangle, Exterior Angle, Triangle Sum

  4. Polygon Exterior Angle-Sum Theorem The of the measures of the exterior angles of a polygon, one at each vertex, is 360. sum

  5. Find the measures of the exterior angles.

  6. Congruent Triangles Congruent triangles have 3 congruent sides and 3 congruent angles. The parts of congruent triangles that “match” are called corresponding parts.

  7. Congruence Statement In a congruence statement ORDER MATTERS!!!! Everything matches up.

  8. CPCTC Corresponding Parts of Congruent Triangles are Congruent

  9. Complete each congruence statement. B If ABC  DEF, then BC  ___ EF A C D F E

  10. Complete each congruence statement. B If ABC  DEF, then A  ___ D A C D F E

  11. Complete each congruence statement. B If ABC  DEF, then C  ___ F A C D F E

  12. Fill in the blanks If CAT  DOG, then AC  ___ OD

  13. Fill in the blanks BAT  MON N T  ___ _____  ONM _____  MO NM  ____ ATB BA TB

  14. Fill in the blanks BCA   ____ ____   GFE EGF CAB

  15. Complete the congruence statement. MKL _____   JKN

  16. Complete the congruence statement. ABD _____   CBD

  17. There are 5 ways to prove triangles congruent.

  18. Side-Side-Side (SSS) Congruence Postulate All Three sides in one triangle are congruent to the three sides in the other triangle

  19. Side-Angle-Side (SAS) Congruence Postulate Two sides and the INCLUDED angle of one triangle are congruent to two sides and the included angle of a second triangle.

  20. Angle-Side-Angle (ASA) Congruence Postulate A A S S A A Two angles and the INCLUDED side (the side is in between the 2 marked angles)

  21. A A A A S S Angle-Angle-Side (AAS) Congruence Postulate Two Angles and One Side that is NOT included

  22. There is one more way to prove triangles congruent, but it’s only for RIGHT TRIANGLES…Hypotenuse Leg HL

  23. SSS SAS ASA AAS HL NO BAD WORDS Your Only Ways To Prove Triangles Are Congruent

  24. 2 markings you can add if they aren’t marked already

  25. Share a side Reason: reflexive property Vertical Angles Reason: Vertical Angles are congruent

  26. CW: Practice Worksheet #1 – 9

  27. Homework WS#1 – 12

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